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Finding the Fourth Proportional to 54,859.65, 82,292.55 and 15,413.69

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Solution

The fourth proportional to 54,859.65, 82,292.55 and 15,413.69 is: 23,121.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.65 : 82,292.55 = 15,413.69 : x
  2. Step 2: Convert to fraction form
    54,859.65/82,292.55 = 15,413.69/x
  3. Step 3: Cross multiply
    54,859.65x = 82,292.55 × 15,413.69
  4. Step 4: Simplify right side
    54,859.65x = 1,268,431,649.28
  5. Step 5: Solve for x
    x = 1,268,431,649.28/54,859.65
  6. Step 6: Final answer
    x = 23,121.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.